23133641520 has 240 divisors, whose sum is σ = 82977189120. Its totient is φ = 5312862720.

The previous prime is 23133641353. The next prime is 23133641549. The reversal of 23133641520 is 2514633132.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530797 + ... + 572723.

It is an arithmetic number, because the mean of its divisors is an integer number (345738288).

Almost surely, 2^23133641520 is an apocalyptic number.

23133641520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23133641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41488594560).

23133641520 is an abundant number, since it is smaller than the sum of its proper divisors (59843547600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23133641520 is a wasteful number, since it uses less digits than its factorization.

23133641520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41984 (or 41967 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 23133641520 in words is "twenty-three billion, one hundred thirty-three million, six hundred forty-one thousand, five hundred twenty".